Home
Diamonds
Validation
Dynamic analysis
Bar structures
DLL 05: Slender beam – cantilever – tapered section – eigenfrequencies

DLL 05: Slender beam – cantilever – tapered section – eigenfrequencies

Description

Material		Modulus of elasticity	$E=200 000 N/mm^2$
Material		Density	$\rho=7850 kg/m^3$
Geometry	Cross-section	In point A	$b = h = 40 mm$
		In point B	$b = h = 10 mm$
	Boundary conditions	In point A	Fixed support
		Along line AB	$R_z, M_x$ and $M_y$ fixed to impose 2D behaviour
Mesh		No. of divisions	10

Results

Eigen mode	Shape	Independent reference	Diamonds	Difference
1		54,18Hz	53,97Hz	-0,39%
2		171,94Hz	171,18Hz	-0,44%
3		384,40Hz	382,67Hz	-0,45%
4		697,24Hz	693,99Hz	-0,47%
5		1112,28Hz	1106,94Hz	-0,48%

References

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 09: vibration d’une poutre élancée de section rectangulaire variable (encastrée-libre).

Tested in Diamonds 2023r01.

Article Attachments

.bsf

SDLL09 86 KB

Was this article helpful?

Need Support?

Can't find the answer you're looking for? Don't worry we're here to help!

CONTACT SUPPORT